How many completed Sudoku solutions are there?

sudoku
Piecrust asked:

Regardless of which numbers are shown on the grid before attempting to complete it. I imagine factorial Mathematics comes into it somewhere. For instance, there are 9! (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)different ways of writing the numbers 1 to 9. Is there a formula for working out the total of different Sudoku solutions?



Comments (5)    Posted in Mathematics    

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5 Responses to 'How many completed Sudoku solutions are there?'

  1. li6h2_be8 - December 11th, 2008 at 12:32 am

    I didn’t know you can have several answers for a Sudoku problem. I think there’s only 1 answer per problem.

  2. Polo - December 12th, 2008 at 10:41 am

    The number of classic 9×9 Sudoku solution grids was shown in 2005 by Bertram Felgenhauer and Frazer Jarvis to be 6,670,903,752,021,072,936,960

  3. marshmallows - December 15th, 2008 at 4:30 am

    i dont think there are any solutions for you to get what number gets in the box. but i always use this “technique” where i list down all the possible numbers to be fitted in the boxes and crash the number at other boxes horizontal or vertical to it once i am sure that the specific number should be placed in there. i find it easier that way.

    well we all have different ways of solving sudoku. that was just my way of solving it.

  4. keef - December 17th, 2008 at 9:00 pm

    I always thought that if if you looked long enough at these particular puzzles they are solved anyway. So therefore none.
    You have answered….mmmmmmmm….well done.

  5. sdlefer - December 19th, 2008 at 10:27 pm

    look your solution is untrue because of the way sudokus are created.The general idea of creating sudokus is to make them unique.When you find a sudoku,this should be designed by an algorithm which makes it unique


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